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Finding the Fourth Proportional to 2,035.16, 3,052.90 and 574.32

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Solution

The fourth proportional to 2,035.16, 3,052.90 and 574.32 is: 861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.16 : 3,052.90 = 574.32 : x
  2. Step 2: Convert to fraction form
    2,035.16/3,052.90 = 574.32/x
  3. Step 3: Cross multiply
    2,035.16x = 3,052.90 × 574.32
  4. Step 4: Simplify right side
    2,035.16x = 1,753,341.53
  5. Step 5: Solve for x
    x = 1,753,341.53/2,035.16
  6. Step 6: Final answer
    x = 861.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.